-7a^2(3a^3-4a^5)=

Solution for -7a^2(3a^3-4a^5)= equation:

Simplifying
-7a2(3a3 + -4a5) = 0
(3a3 * -7a2 + -4a5 * -7a2) = 0
(-21a5 + 28a7) = 0

Solving
-21a5 + 28a7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7a5'.
7a5(-3 + 4a2) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve:

Simplifying
a5 = 0

Solving
a5 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + 4a2)' equal to zero and attempt to solve:

Simplifying
-3 + 4a2 = 0

Solving
-3 + 4a2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 4a2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4a2 = 0 + 3
4a2 = 0 + 3

Combine like terms: 0 + 3 = 3
4a2 = 3

Divide each side by '4'.
a2 = 0.75

Simplifying
a2 = 0.75

Take the square root of each side:
a = {-0.866025404, 0.866025404}
Solution
a = {-0.866025404, 0.866025404}